Chapter 6.5, Problem 5QR

Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?

Find equations of the tangent line and the normal line to the graph of the function f(x) = 5x² + 8 at the point (-3,53). %3D (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equations in %3D terms of y and x.) tangent line equation: normal line equation: Select the image containing the graph of the function, the tangent line, and the normal line at the indicated point on the same set of coordinate axes.

1. (7 points) Write the equation of the function f(x) = b* + k whose graph is given below. Find the equation, domain, range, and y-intercept. 10 6. 8- 2- 5 4 -3 -2 -L, 1234 5